Abstract
A model of kinetics of phase transitions in a substance in a metastable state is proposed, where the probability of extensive nucleation owing to homogeneous mechanisms is rather large; the model is an alternative to Kolmogorov’s model. The use of this model is demonstrated to offer analytical solutions that describe both the crystallization processes with similar densities of the liquid and solid phases and, for instance, the kinetics of nucleation and growth of bubbles in surface boiling. Solutions obtained by Kolmogorov’s model and by the present model coincide at the initial stage of the process where the volume fraction of the new phase is small.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. N. Kolmogorov, “On the statistical theory of metal crystallization,” Izv. Akad. Nauk SSSR, Ser. Mat., No. 3, 355–359 (1937).
M. Tomellini, M. Fanfoni, and M. Volpe, “Phase transition kinetics in the case of nonrandom nucleation,” Phys. Rev., B: Cond. Mat., 65, No. 14, 140301 (R) (2002).
Clinton DeW. Van Siclen, “Random nucleation and growth kinetics,” Phys. Rev., B: Cond. Mat., Ser. 3, 54, No. 17, 11845–11848 (1996).
S. M. Mitrofanov and P. A. Pavlov, “Modeling of explosive near-wall vaporization,” in: Proc. 3rd Russian National Conf. on Heat Transfer, Moscow Inst. Power Eng., Vol. 4, Moscow (2002), pp. 144–147.
P. A. Pavlov, “Calculations of heat transfer from a heater to a liquid in the case of fluctuation nucleation,” in: Nonequilibrium Phase Transitions and Thermophysical Properties of Substances [in Russian], Ural Div., Russian Acad. of Sci., Ekaterinburg (1996), pp. 57–65.
P. A. Pavlov and V. P. Skripov, “Vaporization under pulsed heating of the liquid,” Inzh.-Fiz. Zh., 12, No. 4, 503–507 (1967).
V. P. Skripov and V. P. Koverda, Spontaneous Crystallization of Overcooled Liquids [in Russian], Nauka, Moscow (1984).
V. E. Nakoryakov and A. V. Gorin, Heat and Mass Transfer in Two-Phase Media [in Russian], Inst. Thermophys., Sib. Div., Russian Acad. of Sci., Novosibirsk (1994).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 2, pp. 75–80, March–April, 2007.
Rights and permissions
About this article
Cite this article
Lezhnin, S.I., Chernov, A.A. Growth of a new phase in a substance in a metastable state. J Appl Mech Tech Phys 48, 208–212 (2007). https://doi.org/10.1007/s10808-007-0027-6
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10808-007-0027-6